The charging and discharging of a capacitor connected in an electric circuit depends on

Explanation

The correct answer is Time constant. This concept is fundamental to understanding how quickly a capacitor can charge or discharge in a circuit. The time constant (τ = RC) determines the rate of change of voltage across the capacitor, hence influencing the charging and discharging processes. Option Electric power is incorrect because it describes energy transfer rates rather than the charge flow itself. Option Electric current is a factor in the process, but it does not specifically define the rate of charging or discharging without the context of resistance and capacitance. Lastly, Applied voltage is necessary for charging but does not dictate the rate at which a capacitor charges or discharges, which is better described by the time constant.